I guess in general you're going to want to cut out the tabloids (The Mail, The Express, The Sun, The Mirror, The Star) and keep the broadsheets.

The Guardian is a decent centre-left paper, The Times is relatively comparable on the centre-right. The Independant claims to be outside of the whole thing but tends to drift leftwards at times. The Telegraph is fairly right-ring, and definitely has a reputation of being the trashiest of the group, so your mileage may vary on whether you keep that or not.

Appers66 is right with the descriptions the Telegraph can be more reactionary than most. But I think you should read these so if you are left leaning you understand the arguments from both sides. Having you own world view teen forced is fine until someone questions it and you have little to ammunition to argue back with. Understand their argument and you will be far better prepared.